Pavare pentagonală Cairo (Romanian Wikipedia)
Analysis of information sources in references of the Wikipedia article "Pavare pentagonală Cairo" in Romanian language version.
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ams.org
- en Schattschneider, Doris (), „Tiling the plane with congruent pentagons”, Mathematics Magazine, 51 (1): 29–44, doi:10.1080/0025570X.1978.11976672, JSTOR 2689644, MR 0493766
- en Goodman-Strauss, C.; Sloane, N. J. A. (), „A coloring-book approach to finding coordination sequences” (PDF), Acta Crystallographica Section A, 75 (1): 121–134, arXiv:1803.08530
, doi:10.1107/s2053273318014481, MR 3896412, PMID 30575590, arhivat din original (PDF) la , accesat în - en Chung, Ping Ngai; Fernandez, Miguel A.; Li, Yifei; Mara, Michael; Morgan, Frank; Plata, Isamar Rosa; Shah, Niralee; Vieira, Luis Sordo; Wikner, Elena (), „Isoperimetric pentagonal tilings”, Notices of the American Mathematical Society, 59 (5): 632–640, doi:10.1090/noti838 , MR 2954290
- en Morgan, Frank (), „My undercover mission to find Cairo tilings”, The Mathematical Intelligencer, 41 (3): 19–22, doi:10.1007/s00283-019-09906-7, MR 3995312
archive.org
- en Macmahon, Major P. A. (), New Mathematical Pastimes, University Press, p. 101
- en Nisbet, Harry (), Grammar of Textile Design, London: Scott, Greenwood & Son, p. 101
arxiv.org
- en Rao, Michaël (), Exhaustive search of convex pentagons which tile the plane (PDF), arXiv:1708.00274
- en Goodman-Strauss, C.; Sloane, N. J. A. (), „A coloring-book approach to finding coordination sequences” (PDF), Acta Crystallographica Section A, 75 (1): 121–134, arXiv:1803.08530 , doi:10.1107/s2053273318014481, MR 3896412, PMID 30575590, arhivat din original (PDF) la , accesat în
- en Ressouche, E.; Simonet, V.; Canals, B.; Gospodinov, M.; Skumryev, V. (decembrie 2009), „Magnetic frustration in an iron-based Cairo pentagonal lattice”, Physical Review Letters, 103 (26): 267204, arXiv:1001.0710 , Bibcode:2009PhRvL.103z7204R, doi:10.1103/physrevlett.103.267204, PMID 20366341
books.google.com
- en Conway, John H.; Burgiel, Heidi; Goodman-Strass, Chaim (), The Symmetries of Things, AK Peters, p. 288, ISBN 978-1-56881-220-5
- en Steurer, Walter; Dshemuchadse, Julia (), Intermetallics: Structures, Properties, and Statistics, International Union of Crystallography Monographs on Crystallography, 26, Oxford University Press, p. 42, ISBN 9780191023927
- en Alsina, Claudi; Nelsen, Roger B. (), Charming proofs: a journey into elegant mathematics, Dolciani mathematical expositions, 42, Mathematical Association of America, p. 164, ISBN 978-0-88385-348-1.
- en Martin, George Edward (), Transformation Geometry: An Introduction to Symmetry, Undergraduate Texts in Mathematics, Springer, p. 119, ISBN 978-0-387-90636-2.
bridgesmathart.org
archive.bridgesmathart.org
- en Thomas, B.G.; Hann, M.A. (), „Patterning by projection: Tiling the dodecahedron and other solids”, În Sarhangi, Reza; Séquin, Carlo H., Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture, London: Tarquin Publications, pp. 101–108, ISBN 9780966520194
doi.org
- en O'Keeffe, M.; Hyde, B. G. (), „Plane nets in crystal chemistry”, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 295 (1417): 553–618, Bibcode:1980RSPTA.295..553O, doi:10.1098/rsta.1980.0150, JSTOR 36648.
- en Schattschneider, Doris (), „Tiling the plane with congruent pentagons”, Mathematics Magazine, 51 (1): 29–44, doi:10.1080/0025570X.1978.11976672, JSTOR 2689644, MR 0493766
- en Macmillan, R. H. (decembrie 1979), „Pyramids and pavements: Some thoughts from Cairo”, The Mathematical Gazette, 63 (426): 251–255, doi:10.2307/3618038, JSTOR 3618038
- en Kovács, Gergely; Nagy, Benedek; Turgay, Neșet Deniz (mai 2021), „Distance on the Cairo pattern”, Pattern Recognition Letters, 145: 141–146, Bibcode:2021PaReL.145..141K, doi:10.1016/j.patrec.2021.02.002
- en Goodman-Strauss, C.; Sloane, N. J. A. (), „A coloring-book approach to finding coordination sequences” (PDF), Acta Crystallographica Section A, 75 (1): 121–134, arXiv:1803.08530 , doi:10.1107/s2053273318014481, MR 3896412, PMID 30575590, arhivat din original (PDF) la , accesat în
- en Rollett, A. P. (septembrie 1955), „2530. A pentagonal tessellation”, Mathematical Notes, The Mathematical Gazette, 39 (329): 209, doi:10.2307/3608750, JSTOR 3608750
- en Chung, Ping Ngai; Fernandez, Miguel A.; Li, Yifei; Mara, Michael; Morgan, Frank; Plata, Isamar Rosa; Shah, Niralee; Vieira, Luis Sordo; Wikner, Elena (), „Isoperimetric pentagonal tilings”, Notices of the American Mathematical Society, 59 (5): 632–640, doi:10.1090/noti838 , MR 2954290
- en Dunn, J. A. (decembrie 1971), „Tessellations with pentagons”, The Mathematical Gazette, 55 (394): 366–369, doi:10.2307/3612359, JSTOR 3612359. Although Dunn writes that the equilateral form of the tiling was used in Cairo, this appears to be a mistake.
- en Morgan, Frank (), „My undercover mission to find Cairo tilings”, The Mathematical Intelligencer, 41 (3): 19–22, doi:10.1007/s00283-019-09906-7, MR 3995312
- en Banaru, A. M.; Banaru, G. A. (august 2011), „Cairo tiling and the topology of layered hydrates”, Moscow University Chemistry Bulletin, 66 (3), Article 159, doi:10.3103/S0027131411030023
- en Ressouche, E.; Simonet, V.; Canals, B.; Gospodinov, M.; Skumryev, V. (decembrie 2009), „Magnetic frustration in an iron-based Cairo pentagonal lattice”, Physical Review Letters, 103 (26): 267204, arXiv:1001.0710 , Bibcode:2009PhRvL.103z7204R, doi:10.1103/physrevlett.103.267204, PMID 20366341
- en Zhang, Shunhong; Zhou, Jian; Wang, Qian; Chen, Xiaoshuang; Kawazoe, Yoshiyuki; Jena, Puru (februarie 2015), „Penta-graphene: A new carbon allotrope”, Proceedings of the National Academy of Sciences of the United States of America, 112 (8): 2372–2377, Bibcode:2015PNAS..112.2372Z, doi:10.1073/pnas.1416591112 , PMC 4345574 , PMID 25646451
ens-lyon.fr
perso.ens-lyon.fr
- en Rao, Michaël (), Exhaustive search of convex pentagons which tile the plane (PDF), arXiv:1708.00274
handle.net
hdl.handle.net
- de Haag, F. (), „Die regelmäßigen Planteilungen”, Zeitschrift für Kristallographie, Kristallgeometrie, Kristallphysik, Kristallchemie, 49: 360–369, hdl:2027/uc1.b3327994 See in particular Figures 2b, p. 361, and 4a, p. 363.
harvard.edu
adsabs.harvard.edu
- en O'Keeffe, M.; Hyde, B. G. (), „Plane nets in crystal chemistry”, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 295 (1417): 553–618, Bibcode:1980RSPTA.295..553O, doi:10.1098/rsta.1980.0150, JSTOR 36648.
- en Kovács, Gergely; Nagy, Benedek; Turgay, Neșet Deniz (mai 2021), „Distance on the Cairo pattern”, Pattern Recognition Letters, 145: 141–146, Bibcode:2021PaReL.145..141K, doi:10.1016/j.patrec.2021.02.002
- en Ressouche, E.; Simonet, V.; Canals, B.; Gospodinov, M.; Skumryev, V. (decembrie 2009), „Magnetic frustration in an iron-based Cairo pentagonal lattice”, Physical Review Letters, 103 (26): 267204, arXiv:1001.0710 , Bibcode:2009PhRvL.103z7204R, doi:10.1103/physrevlett.103.267204, PMID 20366341
- en Zhang, Shunhong; Zhou, Jian; Wang, Qian; Chen, Xiaoshuang; Kawazoe, Yoshiyuki; Jena, Puru (februarie 2015), „Penta-graphene: A new carbon allotrope”, Proceedings of the National Academy of Sciences of the United States of America, 112 (8): 2372–2377, Bibcode:2015PNAS..112.2372Z, doi:10.1073/pnas.1416591112 , PMC 4345574 , PMID 25646451
jstor.org
- en O'Keeffe, M.; Hyde, B. G. (), „Plane nets in crystal chemistry”, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 295 (1417): 553–618, Bibcode:1980RSPTA.295..553O, doi:10.1098/rsta.1980.0150, JSTOR 36648.
- en Schattschneider, Doris (), „Tiling the plane with congruent pentagons”, Mathematics Magazine, 51 (1): 29–44, doi:10.1080/0025570X.1978.11976672, JSTOR 2689644, MR 0493766
- en Macmillan, R. H. (decembrie 1979), „Pyramids and pavements: Some thoughts from Cairo”, The Mathematical Gazette, 63 (426): 251–255, doi:10.2307/3618038, JSTOR 3618038
- en Rollett, A. P. (septembrie 1955), „2530. A pentagonal tessellation”, Mathematical Notes, The Mathematical Gazette, 39 (329): 209, doi:10.2307/3608750, JSTOR 3608750
- en Dunn, J. A. (decembrie 1971), „Tessellations with pentagons”, The Mathematical Gazette, 55 (394): 366–369, doi:10.2307/3612359, JSTOR 3612359. Although Dunn writes that the equilateral form of the tiling was used in Cairo, this appears to be a mistake.
maa.org
- en Schattschneider, Doris (), „Tiling the plane with congruent pentagons”, Mathematics Magazine, 51 (1): 29–44, doi:10.1080/0025570X.1978.11976672, JSTOR 2689644, MR 0493766
neilsloane.com
- en Goodman-Strauss, C.; Sloane, N. J. A. (), „A coloring-book approach to finding coordination sequences” (PDF), Acta Crystallographica Section A, 75 (1): 121–134, arXiv:1803.08530 , doi:10.1107/s2053273318014481, MR 3896412, PMID 30575590, arhivat din original (PDF) la , accesat în
nih.gov
ncbi.nlm.nih.gov
- en Goodman-Strauss, C.; Sloane, N. J. A. (), „A coloring-book approach to finding coordination sequences” (PDF), Acta Crystallographica Section A, 75 (1): 121–134, arXiv:1803.08530 , doi:10.1107/s2053273318014481, MR 3896412, PMID 30575590, arhivat din original (PDF) la , accesat în
- en Ressouche, E.; Simonet, V.; Canals, B.; Gospodinov, M.; Skumryev, V. (decembrie 2009), „Magnetic frustration in an iron-based Cairo pentagonal lattice”, Physical Review Letters, 103 (26): 267204, arXiv:1001.0710 , Bibcode:2009PhRvL.103z7204R, doi:10.1103/physrevlett.103.267204, PMID 20366341
- en Zhang, Shunhong; Zhou, Jian; Wang, Qian; Chen, Xiaoshuang; Kawazoe, Yoshiyuki; Jena, Puru (februarie 2015), „Penta-graphene: A new carbon allotrope”, Proceedings of the National Academy of Sciences of the United States of America, 112 (8): 2372–2377, Bibcode:2015PNAS..112.2372Z, doi:10.1073/pnas.1416591112 , PMC 4345574 , PMID 25646451
oeis.org
- Coordination sequences for the Cairo pentagonal tiling in the On-Line Encyclopedia of Integer Sequences: A219529 for pentagons, A296368 for degree-three vertices, and A008574 for degree-four vertices, retrieved 2021-06-17
patents.google.com
- en Moore, H. C. (), Tile (US Patent 928,320)
tess-elation.co.uk
- en Bailey, David, „Cairo tiling”, David Bailey's World of Escher-like Tessellations, arhivat din original la , accesat în
uab.cat
ddd.uab.cat
- en Ressouche, E.; Simonet, V.; Canals, B.; Gospodinov, M.; Skumryev, V. (decembrie 2009), „Magnetic frustration in an iron-based Cairo pentagonal lattice”, Physical Review Letters, 103 (26): 267204, arXiv:1001.0710 , Bibcode:2009PhRvL.103z7204R, doi:10.1103/physrevlett.103.267204, PMID 20366341
uni-goettingen.de
resolver.sub.uni-goettingen.de
- de Reinhardt, Karl (), Über die Zerlegung der Ebene in Polygone (Doctoral dissertation) (în germană), Borna-Leipzig: Druck von Robert Noske, "Vierter Typus", p. 78, and Figure 24, p. 81
web.archive.org
- en Goodman-Strauss, C.; Sloane, N. J. A. (), „A coloring-book approach to finding coordination sequences” (PDF), Acta Crystallographica Section A, 75 (1): 121–134, arXiv:1803.08530 , doi:10.1107/s2053273318014481, MR 3896412, PMID 30575590, arhivat din original (PDF) la , accesat în
- en Bailey, David, „Cairo tiling”, David Bailey's World of Escher-like Tessellations, arhivat din original la , accesat în